Faculty

Institution

Unit

Venue

Peter Crooks

Assistant Professor

Utah State University

Affiliations

College of Science

Department of Mathematics and Statistics

Peter Crooks is currently serving as a College Of Science Assistant Professor at Utah State University.

Honors

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Experiences

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Education

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Peter Crooks

Utah State University

Assistant Professor

You can click a keyword to filter the displayed items

mathematics mathematical sciences geometric topology symplectic geometry applied mathematics lie theory algebraic geometry representation theory lie group lie algebra complex geometry geometry and topology algebraic topology theoretical physics projective geometry geometry homological algebra differential geometry algebraic analysis schubert calculus geometric quantization function spaces nilpotent groups integral geometry hessenberg varieties poisson slices spectral theory global geometry supermanifold quantum algebra hyperkähler manifolds maximal torus uniform approach combinatorial theory rational mechanic nonlinear dynamics global analysis riemannian geometry algebraic theory lattice (order) universal algebra lattice theory real algebraic geometry measure theory non-additive measure topological invariants set-theoretic topology topological properties group representation singularly perturbed problem geometric singular perturbation theory lie point symmetry kam theory quantum groups complex adjoint orbits s reg argument shift approach minimal nilpotent orbit perverse sheaves x\cong g\times s_ -equivariant variety isomorphism partial compactifications homogeneous affine varieties hyperkähler slices -regularity condition

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Gelfand–Cetlin Abelianizations of Symplectic Quotients. Pacific Journal of Mathematics (2024)

Peter CrooksJonathan Weitsman

lie groupsymplectic geometrymathematical sciencessymplectic quotientslie theorylie algebramathematicsgeometric topology

Scheme-Theoretic Coisotropic Reduction. arXiv (Cornell University) (2024)

Crooks, PeterMayrand, Maxence

lie groupsymplectic geometrypoisson bracketmathematical scienceshamiltonian reductionnoncommutative geometrylie theoryapplied mathematicsscheme-theoretic coisotropic reductionmathematicsgeometric topology

The Moore-Tachikawa Conjecture via Shifted Symplectic Geometry. arXiv (Cornell University) (2024)

Crooks, PeterMayrand, Maxence

theoretical physicssymplectic geometryquantum algebraaffine poisson schemescategory theoryquantum groupsapplied mathematicssecond generalizationquantum field theorymathematicsgeometric topologyhamiltonian poisson

Abelianization and the Duistermaat-Heckman Theorem. arXiv (Cornell University) (2023)

Crooks, PeterWeitsman, Jonathan

lie groupsymplectic geometrydifferential geometrymathematical sciencesproper moment mapradon-nikodym derivativeintegral geometrynoncommutative geometrylie theorylie algebraduistermaat-heckman theoremgroup theoryapplied mathematicsrepresentation theorymathematics

Abelianization and the Duistermaat–Heckman Theorem. Bulletin of the London Mathematical Society (2023)

Peter CrooksJonathan Weitsman

representation theoryoperator theorymeasure theorynon-additive measureabelianization theoremmathematical sciencesoperator algebrasfunction spacesalgebraic analysisduistermaat–heckman theoremapplied mathematicsnon‐abelian generalizationmathematicspure mathematics

Compactifications, Configurations, and Cohomology. Contemporary Mathematics of the American Mathematical Society (2023)

Peter Crooks

topological invariantstheoretical physicstopological propertiestopologymathematical sciencesset-theoretic topologyfunction spacesgeometry and topologyalgebraic topologymathematicsgeometric topology

Hessenberg Varieties and Poisson Slices. Contemporary mathematics - American Mathematical Society (2023)

Peter CrooksMarkus Röser

schubert calculussymplectic geometryhomological algebramathematical sciencespoisson geometrygeometrypoisson slicescomplex geometryhessenberg varietieslie theoryapplied mathematicsalgebraic geometrymathematicsgeometric topology

The Double Gelfand-Cetlin System, Invariance of Polarization, and the Peter-Weyl Theorem. arXiv (Cornell University) (2023)

Crooks, PeterWeitsman, Jonathan

theoretical physicssymplectic geometrymathematical sciencesdifferent real polarizationreal polarizationoperator algebraslie theoryapplied mathematicsgeometric quantizationmathematicsgeometric topology

The Double Gelfand–Cetlin System, Invariance of Polarization, and the Peter–Weyl Theorem. Journal of Geometry and Physics (2023)

Peter CrooksJonathan Weitsman

symmetryrepresentation theorykam theorylie point symmetrymathematical sciencesnoncommutative geometryspectral theoryapplied mathematicspeter–weyl theoremalgebraic geometrygeometric quantizationmathematicsdouble gelfand–cetlin system

Universal Families of Twisted Cotangent Bundles. arXiv (Cornell University) (2023)

Crooks, Peter

lie groupsymplectic geometrygeometric topologyuniversal familiesmathematical sciencescomplex geometryuniversal familylie theorylie algebraindexing setalgebraic geometryrepresentation theorymathematics

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Peter Crooks

Assistant Professor

Utah State University

Affiliations

College of Science

Department of Mathematics and Statistics

Peter Crooks is currently serving as a College Of Science Assistant Professor at Utah State University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Peter Crooks

Utah State University

Assistant Professor

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Gelfand–Cetlin Abelianizations of Symplectic Quotients. Pacific Journal of Mathematics (2024)

Peter CrooksJonathan Weitsman

lie groupsymplectic geometrymathematical sciencessymplectic quotientslie theorylie algebramathematicsgeometric topology

Scheme-Theoretic Coisotropic Reduction. arXiv (Cornell University) (2024)

Crooks, PeterMayrand, Maxence

The Moore-Tachikawa Conjecture via Shifted Symplectic Geometry. arXiv (Cornell University) (2024)

Crooks, PeterMayrand, Maxence

Abelianization and the Duistermaat-Heckman Theorem. arXiv (Cornell University) (2023)

Crooks, PeterWeitsman, Jonathan

Abelianization and the Duistermaat–Heckman Theorem. Bulletin of the London Mathematical Society (2023)

Peter CrooksJonathan Weitsman

Compactifications, Configurations, and Cohomology. Contemporary Mathematics of the American Mathematical Society (2023)

Peter Crooks

topological invariantstheoretical physicstopological propertiestopologymathematical sciencesset-theoretic topologyfunction spacesgeometry and topologyalgebraic topologymathematicsgeometric topology

Hessenberg Varieties and Poisson Slices. Contemporary mathematics - American Mathematical Society (2023)

Peter CrooksMarkus Röser

The Double Gelfand-Cetlin System, Invariance of Polarization, and the Peter-Weyl Theorem. arXiv (Cornell University) (2023)

Crooks, PeterWeitsman, Jonathan

The Double Gelfand–Cetlin System, Invariance of Polarization, and the Peter–Weyl Theorem. Journal of Geometry and Physics (2023)

Peter CrooksJonathan Weitsman

Universal Families of Twisted Cotangent Bundles. arXiv (Cornell University) (2023)

Crooks, Peter

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2
3
4
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